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Finding the Fourth Proportional to 519,544, 779,447.22 and 145,567

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Solution

The fourth proportional to 519,544, 779,447.22 and 145,567 is: 218,387.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,544 : 779,447.22 = 145,567 : x
  2. Step 2: Convert to fraction form
    519,544/779,447.22 = 145,567/x
  3. Step 3: Cross multiply
    519,544x = 779,447.22 × 145,567
  4. Step 4: Simplify right side
    519,544x = 113,461,793,473.74
  5. Step 5: Solve for x
    x = 113,461,793,473.74/519,544
  6. Step 6: Final answer
    x = 218,387.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.